ENGM 631 Minimum Spanning Tree

Prototype Example Seervada Park Trams route smallest total distance Phone lines minimum spanning tree Tram limitations for environmental concerns limitations on each road Maximum Flow problem O is origin, T is endpoint

Prototype Example

Other Shortest-Path Uses Minimize Total distance Minimize Total cost of travel Minimize Total time of travel Used in directed networks To every node methods exist To and from every node exist, too

Minimum Spanning Tree

9.4 Minimum Spanning Tree

Applications 1.Telecommunications networks (fiber- optic, computer, telephone, cable TV) 2.Lightly used transportation networks 3.High voltage power transmission lines 4.Wiring on electrical equipment 5.Design of pipelines to connect locations

Algorithm Min Span Tree It’s a simple greedy algorithm Just pick the smallest link and attach to the tree

Algorithm Min Span Tree

Span Tree for Park Ex.